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<TITLE>CSE 322 
Assignment 8 
Due Friday, February 23, 1996</TITLE>
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Assignment 8 
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<H1>CSE 322 
Assignment 8 
Due Friday, February 23, 1996</H1>
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Consider the NFA <IMG  ALIGN=MIDDLE ALT="" SRC="img1.gif"> where <IMG  ALIGN=BOTTOM ALT="" SRC="img2.gif"> is
given by the table:
<P><IMG  ALIGN=BOTTOM ALT="" SRC="img3.gif"><P>
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Use the ``practical'' form of the subset construction to produce a DFA
equivalent to <b>M</b>.
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<LI>
For the NFA <b>M</b> of problem 1 use the regular expression diagram method to
construct a regular expression equivalent to <b>M</b>.  Be sure to
simplify regular expressions when possible.
<LI>
Number 7 (c) on page 182.  Start with an NFA <b>M</b> which accepts <b>L</b>,
then show the construction of an NFA <IMG  ALIGN=BOTTOM ALT="" SRC="img4.gif"> which accepts <IMG  ALIGN=BOTTOM ALT="" SRC="img5.gif">.
Carefully state a behavioral lemma which relates the behavior of <b>M</b>
with the behavior of <IMG  ALIGN=BOTTOM ALT="" SRC="img6.gif">.  Use the behavioral lemma to prove that
<IMG  ALIGN=MIDDLE ALT="" SRC="img7.gif">.  Do not prove the behavioral lemma, but be sure that
you could do so.
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<P><ADDRESS>
<I>James Fix <BR>
Tue Feb 20 11:24:16 PST 1996</I>
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